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patriot [66]
2 years ago
10

10 ft

Mathematics
1 answer:
wariber [46]2 years ago
4 0

Answer:

<em>The perimeter of given figure  = 56.56 ft</em>

Step-by-step explanation:

<u>Step(i):-</u>

From diagram

      The length of the rectangle = 10 ft

     The width of the rectangle = 8 ft

     Perimeter of the rectangle

                      = 2 ( l+w)

                     =  2 ( 10 + 8)

                     = 2 × 18

                     = 36

<u><em>Step(ii):-</em></u>

The semi circle is included in the given diagram

<em>Now we will find the perimeter of semicircle</em>

<em>We know that </em>

<em>         perimeter  of the circle </em>

<em>           p = 2πr + d</em>

<em>         perimeter of the semicircle</em>

<em>         </em>P = \frac{1}{2} 2\pi r + d<em></em>

<em>        P = πr + 2 r    (∵ d = 2 r)</em>

<u><em>Step(iii):-</em></u>

<em> From diagram the diameter of semicircle is equal to the width of the rectangle </em>

<em>       d = 8</em>

<em>      d = 2 r = 8</em>

<em> The radius of the circle 'r' = 4   </em>

<em>     perimeter of the semicircle</em>

<em>        P = πr + 2 r   </em>

<em>       P = 3.14 ( 4) + 8</em>

<em>      P= 20.56</em>

<u><em>Conclusion:-</em></u>

<em>The perimeter of given figure</em>

<em>                     = perimeter of rectangle + perimeter of semicircle</em>

                    = 36 + 20.56

                   =56.56 ft

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